Advertisements
Advertisements
Question
Find the value of y
Advertisements
Solution
Cleary POQ is a straight line
Sum of all angles formed at a point on a straight line is 180°
∴ ∠POT + ∠TOS + ∠SOR + ∠ROQ = 180°
60° + (3y – 20°) + y° + (y + 10°) = 180°
60° + 3y – 20° + y° + y° + 10° = 180°
5y + 50° = 180°
5y + 50° – 50° = 180° – 50
5y = 130°
y = `(130^circ)/5`
y = 26°
APPEARS IN
RELATED QUESTIONS
Given that AB is a straight line. Calculate the value of x° in the following cases
Given that AB is a straight line. Calculate the value of x° in the following cases
If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?
In the following figure, PQ || ST. Then, the value of x + y is ______.
Two angles making a linear pair are always supplementary.
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
What is the type of other angle of a linear pair if one of its angle is acute?
Two angles are making a linear pair. If one of them is one-third of the other, find the angles.
